In an examination, 70% of the candidates passed in English, 80% passed

1.	In an examination, 70% of the candidates passed in English, 80% passed in Mathematics and 10% failed in both these subjects. If 144 candidates passed in both, then the total number of candidates was (a) 125 (b) 200 (c) 240 (d) 375
Answer» (c) 240 Let the total number of candidates be x. Given, 70% of x passed in English 80% of x passed in Maths 144 passed in English and Maths both 10% of x failed in English and Maths both \(\therefore\) 90% of x passed in English and Maths both. \(\therefore\) 90% of x = 70% x + 80% of x – 144 \(\Rightarrow\) 60% of 144 \(\Rightarrow\) x = \(\frac{144\times100}{60}\) = 240.

In an examination, 70% of the candidates passed in English, 80% passed in Mathematics and 10% failed in both these subjects. If 144 candidates passed in both, then the total number of candidates was (a) 125 (b) 200 (c) 240 (d) 375

Answer»

(c) 240

Let the total number of candidates be x.

Given, 70% of x passed in English

80% of x passed in Maths

144 passed in English and Maths both

10% of x failed in English and Maths both

\(\therefore\) 90% of x passed in English and Maths both.

\(\therefore\) 90% of x = 70% x + 80% of x – 144

\(\Rightarrow\) 60% of 144

\(\Rightarrow\) x = \(\frac{144\times100}{60}\) = 240.